Thermal variational principle and gauge fields

Details Thermal variational principle and gauge fields Thermal variational principle and gauge fields

1995-10-16

arxiv.org/abs/hep-ph/9510305v2

Phys.Rev. D54 (1996) 7677-7694

Physics

High Energy Physics

High Energy Physics - Phenomenology

36 pages, LaTeX, no figures. Updated version: new title, section on static properties and some references added

Scientific paper

10.1103/PhysRevD.54.7677

A Feynman-Jensen version of the thermal variational principle is applied to hot gauge fields, Abelian as well as non-Abelian: scalar electrodynamics (without scalar self-coupling) and the gluon plasma. The perturbatively known self-energies are shown to derive by variation from a free quadratic (''Gaussian'') trial Lagrangian. Independence of the covariant gauge fixing parameter is reached (within the order $g^3$ studied) after a reformulation of the partition function such that it depends on only even powers of the gauge field. Also static properties (Debye screening) are reproduced this way. But because of the present need to expand the variational functional, the method falls short of its potential nonperturbative power.

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